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Finding the Fourth Proportional to 15,097.05, 20,830.17 and 9,048.24

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Solution

The fourth proportional to 15,097.05, 20,830.17 and 9,048.24 is: 12,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.05 : 20,830.17 = 9,048.24 : x
  2. Step 2: Convert to fraction form
    15,097.05/20,830.17 = 9,048.24/x
  3. Step 3: Cross multiply
    15,097.05x = 20,830.17 × 9,048.24
  4. Step 4: Simplify right side
    15,097.05x = 188,476,377.40
  5. Step 5: Solve for x
    x = 188,476,377.40/15,097.05
  6. Step 6: Final answer
    x = 12,484.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.